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A088671
Number of n X n matrices over GF(3) with characteristic polynomial x^(n-1) * (x-1).
5
1, 12, 1053, 787320, 5208653241, 308413053837252, 164053436379620039253, 784901799876425497055472240, 33790882475498615361517892887614321, 13091723638887447119952122094399781435115772, 45648533143796439623892471646730372987043769546194573
OFFSET
1,2
REFERENCES
I. Reiner, On the number of matrices with given characteristic polynomial, Illinois J. Math. 5 1961 324-329.
FORMULA
a(n) = (q/(q-1))*(q^(n^2-n)-q^(-2*n+n^2)) where q = 3.
CROSSREFS
KEYWORD
nonn
AUTHOR
Yuval Dekel (dekelyuval(AT)hotmail.com) and W. Edwin Clark, Nov 29 2003
EXTENSIONS
Added more terms - Joerg Arndt, Oct 04 2013
STATUS
approved